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The line, among the following, that touc...

The line, among the following, that touches the parabola `y^(2) = 4ax ` is-

A

` x + my + am^(3) =0`

B

` x - my + am^(2) =0`

C

` x + my - am^(2) =0`

D

` y + mx + am^(2) =0`

Text Solution

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The correct Answer is:
B
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Find the condition that the straight line x cos theta+ y sin theta =p may touch the parabola y^(2)= 4ax .

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The condition that the line ax + by + c =0 is a tangent to the parabola y^(2)= 4ax is-

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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. If three normals are drawn from the point (c, 0) to the parabola y^(2)...

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  2. If tangents are drawn from the origin to the curve y= sin x , then th...

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  3. The line, among the following, that touches the parabola y^(2) = 4ax ...

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  4. If y= 3x is a tangent to a circle with centre (1, 1) , then the othe...

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  5. From any point P(x, y) of the curve y= x^(m) ( m gt 0 , x gt 0) per...

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  6. The area enclosed between the curve y= log(e)(x+e) and the coordinat...

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  7. Let f(x) be non- negative continuous function such that the area bound...

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  8. If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y ...

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  9. The locus of the point of intersection of a pair of perpendicular tang...

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  10. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

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  11. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

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  12. The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...

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  13. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

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  14. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

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  15. The least value of the sum of any positive real number and its recipro...

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  16. The function f(x)= x^((1)/(x)) is-

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  17. If the chord of contact of tangents from a point on the circle x^(2) +...

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  18. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

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  19. The length of the rectangle of maximum area that can be inscribed in a...

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  20. If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...

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